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Follow-up Workshop to TP Rigidity

Hausdorff Center for Mathematics via YouTube

Overview

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Explore advanced topics in mathematical rigidity theory through this comprehensive workshop lecture series from the Hausdorff Research Institute for Mathematics. Delve into cutting-edge research presented by leading mathematicians including Denis Osin's three-part series on acylindrically hyperbolic groups, Wolfgang Lück's two-part introduction to the Farrell Jones Conjecture, and Nigel Higson's discussions on real reductive groups, K-theory, and parabolic induction. Examine the intersection of topology, algebra, and geometry through presentations on hyperbolicity in mapping class groups by Mladen Bestvina, fixed point theorems and rigidity by Martin Bridson, and dimension theory in K-theory by Guoliang Yu. Investigate specialized topics including finite decomposition complexity and the bounded Borel conjecture presented by Romain Tessera, bounded K and L theory by Erik Pedersen, and the Farrell Jones Conjecture for solvable groups by Christian Wegner, providing deep insights into contemporary developments in rigidity theory and its applications across multiple areas of mathematics.

Syllabus

Denis Osin: Acylindrically hyperbolic groups (part 1)
Wolfgang Lück: Introduction to the Farrell Jones Conjecture (part 1)
Nigel Higson: Real reductive groups, K-theory and the Oka principle
Guoliang Yu: Dimension, complexity and K theory
Martin Bridson: Fixed point theorems and rigidity
Mladen Bestvina: Hyperbolicity in mapping class groups and OutF
Nigel Higson: Parabolic induction
Romain Tessera: Finite decomposition complexity and the bounded Borel conjecture
Denis Osin: Acylindrically hyperbolic groups (part 2)
Wolfgang Lück: Introduction to the Farrell Jones Conjecture (part 2)
Denis Osin: Acylindrically hyperbolic groups (part 3)
Erik Pedersen Bounded K and L theory
Christian Wegner: The Farrell Jones Conjecture for solvable groups

Taught by

Hausdorff Center for Mathematics

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